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<h1 id="sec_name">
<span data-if="hdevelop" style="display:inline;">elliptic_axis_points_xld</span><span data-if="c" style="display:none;">elliptic_axis_points_xld</span><span data-if="cpp" style="display:none;">EllipticAxisPointsXld</span><span data-if="dotnet" style="display:none;">EllipticAxisPointsXld</span><span data-if="python" style="display:none;">elliptic_axis_points_xld</span> (算子名称)</h1>
<h2>名称</h2>
<p><code><span data-if="hdevelop" style="display:inline;">elliptic_axis_points_xld</span><span data-if="c" style="display:none;">elliptic_axis_points_xld</span><span data-if="cpp" style="display:none;">EllipticAxisPointsXld</span><span data-if="dotnet" style="display:none;">EllipticAxisPointsXld</span><span data-if="python" style="display:none;">elliptic_axis_points_xld</span></code> — Parameters of the equivalent ellipse of contours or polygons treated as
point clouds.</p>
<h2 id="sec_synopsis">参数签名</h2>
<div data-if="hdevelop" style="display:inline;">
<p>
<code><b>elliptic_axis_points_xld</b>(<a href="#XLD"><i>XLD</i></a> :  :  : <a href="#Ra"><i>Ra</i></a>, <a href="#Rb"><i>Rb</i></a>, <a href="#Phi"><i>Phi</i></a>)</code></p>
</div>
<div data-if="c" style="display:none;">
<p>
<code>Herror <b>elliptic_axis_points_xld</b>(const Hobject <a href="#XLD"><i>XLD</i></a>, double* <a href="#Ra"><i>Ra</i></a>, double* <a href="#Rb"><i>Rb</i></a>, double* <a href="#Phi"><i>Phi</i></a>)</code></p>
<p>
<code>Herror <b>T_elliptic_axis_points_xld</b>(const Hobject <a href="#XLD"><i>XLD</i></a>, Htuple* <a href="#Ra"><i>Ra</i></a>, Htuple* <a href="#Rb"><i>Rb</i></a>, Htuple* <a href="#Phi"><i>Phi</i></a>)</code></p>
</div>
<div data-if="cpp" style="display:none;">
<p>
<code>void <b>EllipticAxisPointsXld</b>(const HObject&amp; <a href="#XLD"><i>XLD</i></a>, HTuple* <a href="#Ra"><i>Ra</i></a>, HTuple* <a href="#Rb"><i>Rb</i></a>, HTuple* <a href="#Phi"><i>Phi</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HXLD.html">HXLD</a>::<b>EllipticAxisPointsXld</b>(HTuple* <a href="#Rb"><i>Rb</i></a>, HTuple* <a href="#Phi"><i>Phi</i></a>) const</code></p>
<p>
<code>double <a href="HXLD.html">HXLD</a>::<b>EllipticAxisPointsXld</b>(double* <a href="#Rb"><i>Rb</i></a>, double* <a href="#Phi"><i>Phi</i></a>) const</code></p>
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<div data-if="dotnet" style="display:none;">
<p>
<code>static void <a href="HOperatorSet.html">HOperatorSet</a>.<b>EllipticAxisPointsXld</b>(<a href="HObject.html">HObject</a> <a href="#XLD"><i>XLD</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Ra"><i>ra</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Rb"><i>rb</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Phi"><i>phi</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HXLD.html">HXLD</a>.<b>EllipticAxisPointsXld</b>(out <a href="HTuple.html">HTuple</a> <a href="#Rb"><i>rb</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Phi"><i>phi</i></a>)</code></p>
<p>
<code>double <a href="HXLD.html">HXLD</a>.<b>EllipticAxisPointsXld</b>(out double <a href="#Rb"><i>rb</i></a>, out double <a href="#Phi"><i>phi</i></a>)</code></p>
</div>
<div data-if="python" style="display:none;">
<p>
<code>def <b>elliptic_axis_points_xld</b>(<a href="#XLD"><i>xld</i></a>: HObject) -&gt; Tuple[Sequence[float], Sequence[float], Sequence[float]]</code></p>
<p>
<code>def <b>elliptic_axis_points_xld_s</b>(<a href="#XLD"><i>xld</i></a>: HObject) -&gt; Tuple[float, float, float]</code></p>
</div>
<h2 id="sec_description">描述</h2>
<p>该算子 <code><span data-if="hdevelop" style="display:inline">elliptic_axis_points_xld</span><span data-if="c" style="display:none">elliptic_axis_points_xld</span><span data-if="cpp" style="display:none">EllipticAxisPointsXld</span><span data-if="com" style="display:none">EllipticAxisPointsXld</span><span data-if="dotnet" style="display:none">EllipticAxisPointsXld</span><span data-if="python" style="display:none">elliptic_axis_points_xld</span></code> calculates the radii
(<a href="#Ra"><i><code><span data-if="hdevelop" style="display:inline">Ra</span><span data-if="c" style="display:none">Ra</span><span data-if="cpp" style="display:none">Ra</span><span data-if="com" style="display:none">Ra</span><span data-if="dotnet" style="display:none">ra</span><span data-if="python" style="display:none">ra</span></code></i></a>, <a href="#Rb"><i><code><span data-if="hdevelop" style="display:inline">Rb</span><span data-if="c" style="display:none">Rb</span><span data-if="cpp" style="display:none">Rb</span><span data-if="com" style="display:none">Rb</span><span data-if="dotnet" style="display:none">rb</span><span data-if="python" style="display:none">rb</span></code></i></a>) and the orientation (<a href="#Phi"><i><code><span data-if="hdevelop" style="display:inline">Phi</span><span data-if="c" style="display:none">Phi</span><span data-if="cpp" style="display:none">Phi</span><span data-if="com" style="display:none">Phi</span><span data-if="dotnet" style="display:none">phi</span><span data-if="python" style="display:none">phi</span></code></i></a>, in radians)
of the ellipse
having the same orientation and the same aspect ratio as the point cloud
given by the contour or polygon
<a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a> (i.e., the order of the points in the contour or
polygon is not taken into account). If the contour or
polygon is  closed (end point = start point), the end point of the contour or
polygon is not taken into account to avoid that it receives twice
the weight of the other points.
</p>
<p><b>Calculation:</b>
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are normalized to the area (see <a href="moments_points_xld.html"><code><span data-if="hdevelop" style="display:inline">moments_points_xld</span><span data-if="c" style="display:none">moments_points_xld</span><span data-if="cpp" style="display:none">MomentsPointsXld</span><span data-if="com" style="display:none">MomentsPointsXld</span><span data-if="dotnet" style="display:none">MomentsPointsXld</span><span data-if="python" style="display:none">moments_points_xld</span></code></a>),
the major radius <a href="#Ra"><i><code><span data-if="hdevelop" style="display:inline">Ra</span><span data-if="c" style="display:none">Ra</span><span data-if="cpp" style="display:none">Ra</span><span data-if="com" style="display:none">Ra</span><span data-if="dotnet" style="display:none">ra</span><span data-if="python" style="display:none">ra</span></code></i></a> and the minor radius <a href="#Rb"><i><code><span data-if="hdevelop" style="display:inline">Rb</span><span data-if="c" style="display:none">Rb</span><span data-if="cpp" style="display:none">Rb</span><span data-if="com" style="display:none">Rb</span><span data-if="dotnet" style="display:none">rb</span><span data-if="python" style="display:none">rb</span></code></i></a> are calculated
as:
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  <g transform="matrix(1.600006,-0.000000,-0.000000,1.600006,390.718414 117.466187)" style="fill: rgb(0.000000%,0.000000%,0.000000%);">
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</svg></span>  The orientation <a href="#Phi"><i><code><span data-if="hdevelop" style="display:inline">Phi</span><span data-if="c" style="display:none">Phi</span><span data-if="cpp" style="display:none">Phi</span><span data-if="com" style="display:none">Phi</span><span data-if="dotnet" style="display:none">phi</span><span data-if="python" style="display:none">phi</span></code></i></a>, i.e., the angle between the major axis
and the x (column) axis, is defined by:
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</p>
<p><code><span data-if="hdevelop" style="display:inline">elliptic_axis_points_xld</span><span data-if="c" style="display:none">elliptic_axis_points_xld</span><span data-if="cpp" style="display:none">EllipticAxisPointsXld</span><span data-if="com" style="display:none">EllipticAxisPointsXld</span><span data-if="dotnet" style="display:none">EllipticAxisPointsXld</span><span data-if="python" style="display:none">elliptic_axis_points_xld</span></code> should be used if the contour <a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a>
intersects itself or if it is not possible to  close the contour using a line
from end to start point without self-intersection, because in this case
<a href="elliptic_axis_xld.html"><code><span data-if="hdevelop" style="display:inline">elliptic_axis_xld</span><span data-if="c" style="display:none">elliptic_axis_xld</span><span data-if="cpp" style="display:none">EllipticAxisXld</span><span data-if="com" style="display:none">EllipticAxisXld</span><span data-if="dotnet" style="display:none">EllipticAxisXld</span><span data-if="python" style="display:none">elliptic_axis_xld</span></code></a> does not produce useful results. To test whether
the contours or polygons intersect themselves,
<a href="test_self_intersection_xld.html"><code><span data-if="hdevelop" style="display:inline">test_self_intersection_xld</span><span data-if="c" style="display:none">test_self_intersection_xld</span><span data-if="cpp" style="display:none">TestSelfIntersectionXld</span><span data-if="com" style="display:none">TestSelfIntersectionXld</span><span data-if="dotnet" style="display:none">TestSelfIntersectionXld</span><span data-if="python" style="display:none">test_self_intersection_xld</span></code></a> can be used.
</p>
<p>If more than one contour or polygon is passed, the results are stored
in tuples in the same order as the respective contours or polygons in
<a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a>.</p>
<h2 id="sec_execution">运行信息</h2>
<ul>
  <li>多线程类型:可重入(与非独占操作符并行运行)。</li>
<li>多线程作用域:全局(可以从任何线程调用)。</li>
  
    <li>在元组级别自动并行化。</li>
  
</ul>
<h2 id="sec_parameters">参数表</h2>
  <div class="par">
<div class="parhead">
<span id="XLD" class="parname"><b><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></b> (input_object)  </span><span>xld(-array) <code>→</code> <span data-if="hdevelop" style="display:inline">object</span><span data-if="dotnet" style="display:none"><a href="HXLD.html">HXLD</a></span><span data-if="python" style="display:none">HObject</span><span data-if="cpp" style="display:none"><a href="HXLD.html">HXLD</a></span><span data-if="c" style="display:none">Hobject</span></span>
</div>
<p class="pardesc">Contours or polygons to be examined.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Ra" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Ra</span><span data-if="c" style="display:none">Ra</span><span data-if="cpp" style="display:none">Ra</span><span data-if="com" style="display:none">Ra</span><span data-if="dotnet" style="display:none">ra</span><span data-if="python" style="display:none">ra</span></code></b> (output_control)  </span><span>real(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Major radius.</p>
<p class="pardesc"><span class="parcat">Assertion:
      </span><code>Ra &gt;= 0.0</code></p>
</div>
  <div class="par">
<div class="parhead">
<span id="Rb" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Rb</span><span data-if="c" style="display:none">Rb</span><span data-if="cpp" style="display:none">Rb</span><span data-if="com" style="display:none">Rb</span><span data-if="dotnet" style="display:none">rb</span><span data-if="python" style="display:none">rb</span></code></b> (output_control)  </span><span>real(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Minor radius.</p>
<p class="pardesc"><span class="parcat">Assertion:
      </span><code>Rb &gt;= 0.0 &amp;&amp; Rb &lt;= Ra</code></p>
</div>
  <div class="par">
<div class="parhead">
<span id="Phi" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Phi</span><span data-if="c" style="display:none">Phi</span><span data-if="cpp" style="display:none">Phi</span><span data-if="com" style="display:none">Phi</span><span data-if="dotnet" style="display:none">phi</span><span data-if="python" style="display:none">phi</span></code></b> (output_control)  </span><span>angle.rad(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Angle between the major axis and the column axis
(radians).</p>
<p class="pardesc"><span class="parcat">Assertion:
      </span><code>- pi / 2 &lt; Phi &amp;&amp; Phi &lt;= pi / 2</code></p>
</div>
<h2 id="sec_complexity">Complexity</h2>
<p>Let n be the number of points of the contour or polygon.
Then the run time is O(n).</p>
<h2 id="sec_result">结果</h2>
<p><code><span data-if="hdevelop" style="display:inline">elliptic_axis_points_xld</span><span data-if="c" style="display:none">elliptic_axis_points_xld</span><span data-if="cpp" style="display:none">EllipticAxisPointsXld</span><span data-if="com" style="display:none">EllipticAxisPointsXld</span><span data-if="dotnet" style="display:none">EllipticAxisPointsXld</span><span data-if="python" style="display:none">elliptic_axis_points_xld</span></code> returns <TT>2</TT> (
      <TT>H_MSG_TRUE</TT>)
     if the input is not
empty.  If the input is empty the behavior can be set via
<a href="set_system.html"><code><span data-if="hdevelop" style="display:inline">set_system(::'no_object_result',&lt;Result&gt;:)</span><span data-if="c" style="display:none">set_system("no_object_result",&lt;Result&gt;)</span><span data-if="cpp" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="com" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="dotnet" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="python" style="display:none">set_system("no_object_result",&lt;Result&gt;)</span></code></a>.  If necessary,
an exception is raised.</p>
<h2 id="sec_predecessors">可能的前置算子</h2>
<p>
<code><a href="gen_contours_skeleton_xld.html"><span data-if="hdevelop" style="display:inline">gen_contours_skeleton_xld</span><span data-if="c" style="display:none">gen_contours_skeleton_xld</span><span data-if="cpp" style="display:none">GenContoursSkeletonXld</span><span data-if="com" style="display:none">GenContoursSkeletonXld</span><span data-if="dotnet" style="display:none">GenContoursSkeletonXld</span><span data-if="python" style="display:none">gen_contours_skeleton_xld</span></a></code>, 
<code><a href="edges_sub_pix.html"><span data-if="hdevelop" style="display:inline">edges_sub_pix</span><span data-if="c" style="display:none">edges_sub_pix</span><span data-if="cpp" style="display:none">EdgesSubPix</span><span data-if="com" style="display:none">EdgesSubPix</span><span data-if="dotnet" style="display:none">EdgesSubPix</span><span data-if="python" style="display:none">edges_sub_pix</span></a></code>, 
<code><a href="threshold_sub_pix.html"><span data-if="hdevelop" style="display:inline">threshold_sub_pix</span><span data-if="c" style="display:none">threshold_sub_pix</span><span data-if="cpp" style="display:none">ThresholdSubPix</span><span data-if="com" style="display:none">ThresholdSubPix</span><span data-if="dotnet" style="display:none">ThresholdSubPix</span><span data-if="python" style="display:none">threshold_sub_pix</span></a></code>, 
<code><a href="gen_contour_polygon_xld.html"><span data-if="hdevelop" style="display:inline">gen_contour_polygon_xld</span><span data-if="c" style="display:none">gen_contour_polygon_xld</span><span data-if="cpp" style="display:none">GenContourPolygonXld</span><span data-if="com" style="display:none">GenContourPolygonXld</span><span data-if="dotnet" style="display:none">GenContourPolygonXld</span><span data-if="python" style="display:none">gen_contour_polygon_xld</span></a></code>, 
<code><a href="test_self_intersection_xld.html"><span data-if="hdevelop" style="display:inline">test_self_intersection_xld</span><span data-if="c" style="display:none">test_self_intersection_xld</span><span data-if="cpp" style="display:none">TestSelfIntersectionXld</span><span data-if="com" style="display:none">TestSelfIntersectionXld</span><span data-if="dotnet" style="display:none">TestSelfIntersectionXld</span><span data-if="python" style="display:none">test_self_intersection_xld</span></a></code>
</p>
<h2 id="sec_successors">可能的后置算子</h2>
<p>
<code><a href="area_center_points_xld.html"><span data-if="hdevelop" style="display:inline">area_center_points_xld</span><span data-if="c" style="display:none">area_center_points_xld</span><span data-if="cpp" style="display:none">AreaCenterPointsXld</span><span data-if="com" style="display:none">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none">AreaCenterPointsXld</span><span data-if="python" style="display:none">area_center_points_xld</span></a></code>, 
<code><a href="gen_ellipse_contour_xld.html"><span data-if="hdevelop" style="display:inline">gen_ellipse_contour_xld</span><span data-if="c" style="display:none">gen_ellipse_contour_xld</span><span data-if="cpp" style="display:none">GenEllipseContourXld</span><span data-if="com" style="display:none">GenEllipseContourXld</span><span data-if="dotnet" style="display:none">GenEllipseContourXld</span><span data-if="python" style="display:none">gen_ellipse_contour_xld</span></a></code>
</p>
<h2 id="sec_alternatives">可替代算子</h2>
<p>
<code><a href="elliptic_axis_xld.html"><span data-if="hdevelop" style="display:inline">elliptic_axis_xld</span><span data-if="c" style="display:none">elliptic_axis_xld</span><span data-if="cpp" style="display:none">EllipticAxisXld</span><span data-if="com" style="display:none">EllipticAxisXld</span><span data-if="dotnet" style="display:none">EllipticAxisXld</span><span data-if="python" style="display:none">elliptic_axis_xld</span></a></code>, 
<code><a href="smallest_rectangle2.html"><span data-if="hdevelop" style="display:inline">smallest_rectangle2</span><span data-if="c" style="display:none">smallest_rectangle2</span><span data-if="cpp" style="display:none">SmallestRectangle2</span><span data-if="com" style="display:none">SmallestRectangle2</span><span data-if="dotnet" style="display:none">SmallestRectangle2</span><span data-if="python" style="display:none">smallest_rectangle2</span></a></code>
</p>
<h2 id="sec_see">参考其它</h2>
<p>
<code><a href="moments_xld.html"><span data-if="hdevelop" style="display:inline">moments_xld</span><span data-if="c" style="display:none">moments_xld</span><span data-if="cpp" style="display:none">MomentsXld</span><span data-if="com" style="display:none">MomentsXld</span><span data-if="dotnet" style="display:none">MomentsXld</span><span data-if="python" style="display:none">moments_xld</span></a></code>, 
<code><a href="smallest_circle_xld.html"><span data-if="hdevelop" style="display:inline">smallest_circle_xld</span><span data-if="c" style="display:none">smallest_circle_xld</span><span data-if="cpp" style="display:none">SmallestCircleXld</span><span data-if="com" style="display:none">SmallestCircleXld</span><span data-if="dotnet" style="display:none">SmallestCircleXld</span><span data-if="python" style="display:none">smallest_circle_xld</span></a></code>, 
<code><a href="smallest_rectangle1_xld.html"><span data-if="hdevelop" style="display:inline">smallest_rectangle1_xld</span><span data-if="c" style="display:none">smallest_rectangle1_xld</span><span data-if="cpp" style="display:none">SmallestRectangle1Xld</span><span data-if="com" style="display:none">SmallestRectangle1Xld</span><span data-if="dotnet" style="display:none">SmallestRectangle1Xld</span><span data-if="python" style="display:none">smallest_rectangle1_xld</span></a></code>, 
<code><a href="smallest_rectangle2_xld.html"><span data-if="hdevelop" style="display:inline">smallest_rectangle2_xld</span><span data-if="c" style="display:none">smallest_rectangle2_xld</span><span data-if="cpp" style="display:none">SmallestRectangle2Xld</span><span data-if="com" style="display:none">SmallestRectangle2Xld</span><span data-if="dotnet" style="display:none">SmallestRectangle2Xld</span><span data-if="python" style="display:none">smallest_rectangle2_xld</span></a></code>, 
<code><a href="shape_trans_xld.html"><span data-if="hdevelop" style="display:inline">shape_trans_xld</span><span data-if="c" style="display:none">shape_trans_xld</span><span data-if="cpp" style="display:none">ShapeTransXld</span><span data-if="com" style="display:none">ShapeTransXld</span><span data-if="dotnet" style="display:none">ShapeTransXld</span><span data-if="python" style="display:none">shape_trans_xld</span></a></code>
</p>
<h2 id="sec_references">References</h2>
<p>

R. Haralick, L. Shapiro
“Computer and Robot Vision”
Addison-Wesley, 1992, pp. 73-75

</p>
<h2 id="sec_module">模块</h2>
<p>
Foundation</p>
<!--OP_REF_FOOTER_START-->
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